ILL GIVE YOU BRAINLYIST

Plz do both of them for me and even show the work plzzzzzz

Vinvika [58]

Answer:

(a)= option 3

(b)= option 3

Step-by-step explanation:

(A) It is given that a sequence is defined by the recursive function $a_{1}=1$ and $a_{n}=a_{n-1}+n$

Now, substituting the value of n=2 in above equation,

$a_{2}=a_{1}+2$

$a_{2}=1+2$

$a_{2}=3$

Again putting n=3,

$a_{3}=a_{2}+3$

$a_{3}=3+3$

$a_{2}=6$

Putting n=4,

$a_{4}=a_{3}+4$

$a_{4}=6+4$

$a_{4}=10$

Putting n=5,

$a_{5}=a_{4}+5$

$a_{5}=10+5$

$a_{5}=15$

Putting n=6,

$a_{6}=a_{5}+6$

$a_{6}=15+6$

$a_{6}=21$

Putting n=7,

$a_{7}=a_{6}+7$

$a_{7}=21+7$

$a_{7}=28$

Hence, option 3 is correct.

(B) The given sequence is :

5, -10, 20, -40, 80.....

Since, the given sequence is GP, therefore

$a_{1}=5$ and r=-2

The nth term is given by:

$a_{n}=a_{1}r^{n-1}$

For fifteenth term, put n=15 in above equation, we get

$a_{15}=5(-2)^{14}$

= $5{\times}16384$

= $81920$

Hence, the fifteenth term is 81920.

Option 3 is correct.

5 0

3 years ago

Verify whether the indicated numbers are zeroes of their corresponding polynomials.

natita [175]

Answer:

No, incorrect

Step-by-step explanation:

<u>Given</u>

Q(s) = -4s^3 + 7s^2 - 24;
s = -4 and 1

<u>Verifying zeroes</u>

Q(-4) =

-4(-4)^3 + 7(-4)^2 - 24 =
256 + 112 - 24 =
344
Incorrect as 344 ≠ 0

Q(1) =

-4(1)^3 + 7(1)^2 - 24 =
-12 + 7 - 24 =
-29
Incorrect as -29 ≠ 0

8 0

3 years ago

Theresa has two brothers, Paul and Steve, who are both the same height. Paul says he is

Schach [20]

Answer:

From given, we have,

Paul says he is 16 inches shorter than 1 1/2 times Theresa's height.

Steve says he's 6 inches shorter than 1 1/3 times Theresa's height.

Let the height of Theresa be "x" inches.

So, we get,

For Paul, 1 1/2 x - 16 = T

⇒ 3/2 x - 16 = T ......(1)

For Steve, 1 1/3 x - 6 = T

⇒ 4/3 x - 6 = T .........(2)

equating equations (1) and (2), we get,

3/2 x - 16 = 4/3 x - 6

6 - 16 = 4/3 x - 3/2 x

-10 = (8 - 9)/6 x

-60 = -x

x = 60 inches.

Therefore, Theresa is 60 inches tall.

8 0

3 years ago

Solve on the interval [0,2pi) 3cscx-1=2

aliya0001 [1]

Answer:

on APEX its d) pi/2

3 0

3 years ago

There are 50 kids taking archery at Bentwood Summer Camp. If 25% of the kids are taking archery, how many kids are at Bentwood S

kakasveta [241]

Using the properties of percentages we can calculate that there are 200 kids in the archery camp that summer.

Long before the decimal numeral system, Ancient Rome routinely computed in fractions as multiples of 1/100.

A percentage is a dimensionless (pure) number; it has no unit of measurement.

The % value is determined by multiplying the numerical value of the ratio by 100. To calculate 50 apples as a percentage of 1250 apples, first compute 50/1250 = 0.04, then multiply by 100 to get 4%.

Let the total number of kids in the camp be x.

The number of kids who took archery = 25%

But 50 students took archery.

hence 25% of x = 50

Solving we infer:

x = 200

Therefore there are 200 kids in the camp.

To learn more about percentages visit:

brainly.com/question/15840409

#SPJ1

3 0

1 year ago